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Duplicate Digit Determination IV (Posted on 2011-06-05) Difficulty: 3 of 5
(I) Each of x and y is a positive integer with x < y such that, reading from left to right, the first two digits in the base ten expansions of 1978x and 1978y are congruent.

Determine the minimum value of x+y.

(II) What is the minimum value of x+y - if, keeping all the other conditions in (i) unaltered, the first three digits in the base ten expansions of 1978x and 1978y are congruent?

Note: None of the expansions of 1978x and 1978y can contain any leading zero.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
SolutionSolutionBrian Smith2017-07-02 14:14:56
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